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Finding the Fourth Proportional to 30,160.06, 45,232.80 and 12,643

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Solution

The fourth proportional to 30,160.06, 45,232.80 and 12,643 is: 18,961.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,160.06 : 45,232.80 = 12,643 : x
  2. Step 2: Convert to fraction form
    30,160.06/45,232.80 = 12,643/x
  3. Step 3: Cross multiply
    30,160.06x = 45,232.80 × 12,643
  4. Step 4: Simplify right side
    30,160.06x = 571,878,290.40
  5. Step 5: Solve for x
    x = 571,878,290.40/30,160.06
  6. Step 6: Final answer
    x = 18,961.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.